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    Codeforces #656 Problem C

    作者: 栏目:未分类 时间:2020-07-18 16:01:08

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    题面

    You are given an array a consisting of n integers. You have to find the length of the smallest (shortest) prefix of elements you need to erase from a to make it a good array. Recall that the prefix of the array a=[a1,a2,…,an] is a subarray consisting several first elements: the prefix of the array a of length k is the array [a1,a2,…,ak] (0≤k≤n).

    The array b of length m is called good, if you can obtain a non-decreasing array c (c1≤c2≤⋯≤cm) from it, repeating the following operation m times (initially, c is empty):

    select either the first or the last element of b, remove it from b, and append it to the end of the array c.
    For example, if we do 4 operations: take b1, then bm, then bm−1 and at last b2, then b becomes [b3,b4,…,bm−3] and c=[b1,bm,bm−1,b2].

    Consider the following example: b=[1,2,3,4,4,2,1]. This array is good because we can obtain non-decreasing array c from it by the following sequence of operations:

    take the first element of b, so b=[2,3,4,4,2,1], c=[1];
    take the last element of b, so b=[2,3,4,4,2], c=[1,1];
    take the last element of b, so b=[2,3,4,4], c=[1,1,2];
    take the first element of b, so b=[3,4,4], c=[1,1,2,2];
    take the first element of b, so b=[4,4], c=[1,1,2,2,3];
    take the last element of b, so b=[4], c=[1,1,2,2,3,4];
    take the only element of b, so b=[], c=[1,1,2,2,3,4,4] — c is non-decreasing.
    Note that the array consisting of one element is good.

    Print the length of the shortest prefix of a to delete (erase), to make a to be a good array. Note that the required length can be 0.

    You have to answer t independent test cases.

    Input
    The first line of the input contains one integer t (1≤t≤2⋅104) — the number of test cases. Then t test cases follow.

    The first line of the test case contains one integer n (1≤n≤2⋅105) — the length of a. The second line of the test case contains n integers a1,a2,…,an (1≤ai≤2⋅105), where ai is the i-th element of a.

    It is guaranteed that the sum of n does not exceed 2⋅105 (∑n≤2⋅105).

    Output
    For each test case, print the answer: the length of the shortest prefix of elements you need to erase from a to make it a good array.

    Example
    inputCopy
    5
    4
    1 2 3 4
    7
    4 3 3 8 4 5 2
    3
    1 1 1
    7
    1 3 1 4 5 3 2
    5
    5 4 3 2 3
    outputCopy
    0
    4
    0
    2
    3

    思路

    我们从前往后扫描,看是不是满足从后往前递增,如果满足那么就扫描前面,看看是不是满足递减,一直到不满足的那个点,输出即可。

    代码实现

    #include<cstdio>
    #include<iostream>
    #include<algorithm>
    #include<cmath>
    #include<cstring>
    #include<set>
    #include<queue>
    #include<map>
    using namespace std;
    typedef long long ll;
    const int maxn=2*1e5+1;
    int a[maxn];
    int main () {
        int t;
        cin>>t;
        while (t--) {
            int n;
            cin>>n;
            for (int i=0;i<n;i++) cin>>a[i];
            int now=n-1;
            while (now>0) {
                if (a[now]<=a[now-1]) now--;
                else break;
            }
            while (now>0) {
                if (a[now]>=a[now-1]) now--;
                else break; 
            }
            cout<<now<<endl;
        } 
        return 0;
    }